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A042175
Denominators of continued fraction convergents to sqrt(612).
2
1, 1, 3, 4, 19, 23, 65, 88, 4289, 4377, 13043, 17420, 82723, 100143, 283009, 383152, 18674305, 19057457, 56789219, 75846676, 360175923, 436022599, 1232221121, 1668243720, 81307919681, 82976163401, 247260246483, 330236409884, 1568205886019, 1898442295903
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 4354, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^2 - x - 1)*(x^4 + 4*x^2 + 1)*(x^8 + 22*x^4 + 1) / ((x^4 - 8*x^2 - 1)*(x^4 + 8*x^2 - 1)*(x^8 + 66*x^4 + 1)). - Colin Barker, Dec 03 2013
MATHEMATICA
Denominator[Convergents[Sqrt[612], 30]] (* Vincenzo Librandi, Jan 16 2014 *)
CROSSREFS
Sequence in context: A248590 A143150 A100340 * A041703 A036253 A212113
KEYWORD
nonn,frac,easy
EXTENSIONS
More terms from Colin Barker, Dec 03 2013
STATUS
approved